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3 years ago

An urn contains: 2 yellow balls, 1 red ball and 3 green balls.

Mathematics

1 answer:

erastovalidia [21]3 years ago

7 0

Answer:

Step-by-step explanation:

2 yellow balls

1 red ball

3 green balls

So in total there are 6 balls all together

1) 2/6 = 1/3

2) 1/6

3) 3/6 = 1/2

4) 3+1 = 4 4/6 = 2/3

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Evaluate the following: 4^2 ÷ (3 + 1).

snow_lady [41]

4^2 ÷ (3 + 1)
= (4×4) ÷ (4)
= 4×(4÷4)
= 4×1
= 4

7 0

3 years ago

Which of the following is a proper fraction 7/6 4/3 1/2 3/3

larisa86 [58]

1/2 because 7/6 & 4/3 are improper fractions(fractions that have a higher numerator than a denominator) and 3/3 should just be written as 1.

4 0

3 years ago

A certain circle can be represented by the following equation. x^2+y^2+18x+14y+105=0 What is the center of the circle? What is t

Gre4nikov [31]

Answer:

See below.

Step-by-step explanation:

Recall the equation for a circle:

$(x-h)^2+(y-k)^2=r^2$ , where (h,k) is the center and r is the radius.

We need to turn the given equation into the above format. We do this by completing the square.

First, group them:

$(x^2+18x)+(y^2+14y)=-105$

For the first section, complete the square for $x^2+18x$ :

$x^2+18x+81-81$

$(x+9)^2-81$

Do the same for the second:

$y^2+14y$

$y^2+14y+49-49$

$(y+7)^2-49$

All together:

$((x+9)^2-81)+((y+7)^2-49)=-105$

$(x+9)^2+(y+7)^2-130=-105$

$(x+9)^2+(y+7)^2=25$

The center is (-9,-7).

The radius is $\sqrt{25}=5$

5 0

3 years ago

If a gallon has 4 quarts, and 1 has quart has 2 pints, how many pints are in 8 gallons

Soloha48 [4]

Answer:

I also think 62 correct me if I'm wrong

3 0

3 years ago

A square patio has a perimeter of (32x+8) feet. What is the length of the patio?

Sonbull [250]

The perimeter of the square patio is the sum of its side lengths

The length of the patio is: 8x + 2

The given parameters are:

$\mathbf{Shape = Square}$

$\mathbf{Perimeter = 32x + 8}$

The perimeter of a square is:

$\mathbf{Perimeter = 4 \times Length}$

So, we have:

$\mathbf{4 \times Length = 32x + 8}$

Divide both sides by 4

$\mathbf{Length = 8x + 2}$

Hence, the length of the patio is: 8x + 2